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Finding the Fourth Proportional to 7,795.12, 11,632.98 and 6,964.06

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Solution

The fourth proportional to 7,795.12, 11,632.98 and 6,964.06 is: 10,392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.12 : 11,632.98 = 6,964.06 : x
  2. Step 2: Convert to fraction form
    7,795.12/11,632.98 = 6,964.06/x
  3. Step 3: Cross multiply
    7,795.12x = 11,632.98 × 6,964.06
  4. Step 4: Simplify right side
    7,795.12x = 81,012,770.70
  5. Step 5: Solve for x
    x = 81,012,770.70/7,795.12
  6. Step 6: Final answer
    x = 10,392.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.